This study analyzes the work by a Family Health Program (FHP) team, identifying the potential for developing receptiveness by the team and fostering links between the health professionals and clients. This was a case study with a qualitative approach. The data were collected through free observation, a semi-structured interview, and documents. A dialectic approach was used to analyze the material. A relationship was observed between the organization of the work process and the achievement of receptiveness and links to clients. There are gaps in receptiveness to health services clients, especially in the openness to demand, accountability for the population's health problems, and encouragement for client autonomy. Production of links is related to the development of clinical activities. According to FHP team members, health services clients are viewed alternately as subjects and objects. The principles and guidelines of the Unified National Health System (SUS) do not represent a project as conceived by the health professionals. The study concludes by proposing greater nursing staff involvement in clinical activities and receptiveness to users of the program.